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Week of...

Links

1

Jan 10

About, Notes, HW1

2

Jan 17

HW2, Notes

3

Jan 24

HW3, Photo, Notes

4

Jan 31

HW4, Notes

5

Feb 7

HW5, Notes

6

Feb 14

On TT, Notes

R

Feb 21

Reading week

7

Feb 28

Term Test

8

Mar 7

HW6, Notes

9

Mar 14

HW7, Notes

10

Mar 21

HW8, E8, Notes

11

Mar 28

HW9, Notes

12

Apr 4

HW10, Notes

13

Apr 11

Notes, PM

S

Apr 1620

Study Period

F

Apr 24

Final

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Register of Good Deeds


Reading
Read chapters 15 and 16 of Gallian's book three times:
 First time as if you were reading a novel  quickly and without too much attention to detail, just to learn what the main keywords and concepts and goals are.
 Second time like you were studying for an exam on the subject  slowly and not skipping anything, verifying every little detail.
 And then a third time, again at a quicker pace, to remind yourself of the bigger picture all those little details are there to paint.
Doing
Solve problems 53, 54 and 62# in Chapter 15 of Gallian's book and problems 1, 2, 3#, 9, 10, 11, 12#, 13#, 15, 30 and 45# in Chapter 16 of the same book, but submit only the solutions the problems marked with a sharp (#).
Solutions
Due Date
This assignment is due in class on Wednesday February 7, 2007.
Just for Fun
 Take a large integer and write it in base 10. Cut away the "singles" digit, double it and subtract the result from the remaining digits. Repeat the process until the number you have left is small. Prove that the number you started from is divisible by 7 iff the resulting number is divisible by 7. Thus the example on the right shows that 86415 is divisible by 7 as 0 is divisible by 7. (I learned this trick a few months ago from Bradford Hovinen).
 Find a similar criterion for divisibility by 17 and for all other divisibilities and indivisibilities.
 Note that the word "indivisibilities" has the largest number of repetitions of a single letter among all words in the English language (7 i's). I've known this fact for years but this exercise is the first time that I'm finding a semilegitimate use for that word! (It is tied with the word honorificabilitudinitatibus for seven 'i's. You can read more about it here: http://en.wikipedia.org/wiki/Honorificabilitudinitatibus)

86415
10

8631
2

861
2

84
8

0
